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                        数据结构与算法（Python）
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                            <b>1.</b>
                        
                        引入概念
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                        算法效率衡量
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                        顺序表的结构与实现
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                            <b>2.3.</b>
                        
                        顺序表的操作
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                            <b>2.4.</b>
                        
                        Python中的顺序表
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                        链表
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                        单向链表
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                        栈
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                            <b>4.1.</b>
                        
                        栈结构实现
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                        队列
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                        队列的实现
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                        双端队列
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                        排序与搜索
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                            <b>6.1.</b>
                        
                        冒泡排序
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                            <b>6.2.</b>
                        
                        选择排序
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                            <b>6.3.</b>
                        
                        插入排序
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                            <b>6.4.</b>
                        
                        快速排序
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                            <b>6.5.</b>
                        
                        希尔排序
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                            <b>6.6.</b>
                        
                        归并排序
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                            <b>6.7.</b>
                        
                        常见排序算法效率比较
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                            <b>6.8.</b>
                        
                        搜索
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                        树与树算法
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                            <b>7.1.</b>
                        
                        二叉树
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                        二叉树的遍历
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                        <h1 id="&#x5E0C;&#x5C14;&#x6392;&#x5E8F;">&#x5E0C;&#x5C14;&#x6392;&#x5E8F;</h1>
<p>&#x5E0C;&#x5C14;&#x6392;&#x5E8F;(Shell Sort)&#x662F;&#x63D2;&#x5165;&#x6392;&#x5E8F;&#x7684;&#x4E00;&#x79CD;&#x3002;&#x4E5F;&#x79F0;&#x7F29;&#x5C0F;&#x589E;&#x91CF;&#x6392;&#x5E8F;&#xFF0C;&#x662F;&#x76F4;&#x63A5;&#x63D2;&#x5165;&#x6392;&#x5E8F;&#x7B97;&#x6CD5;&#x7684;&#x4E00;&#x79CD;&#x66F4;&#x9AD8;&#x6548;&#x7684;&#x6539;&#x8FDB;&#x7248;&#x672C;&#x3002;&#x5E0C;&#x5C14;&#x6392;&#x5E8F;&#x662F;&#x975E;&#x7A33;&#x5B9A;&#x6392;&#x5E8F;&#x7B97;&#x6CD5;&#x3002;&#x8BE5;&#x65B9;&#x6CD5;&#x56E0;DL&#xFF0E;Shell&#x4E8E;1959&#x5E74;&#x63D0;&#x51FA;&#x800C;&#x5F97;&#x540D;&#x3002; &#x5E0C;&#x5C14;&#x6392;&#x5E8F;&#x662F;&#x628A;&#x8BB0;&#x5F55;&#x6309;&#x4E0B;&#x6807;&#x7684;&#x4E00;&#x5B9A;&#x589E;&#x91CF;&#x5206;&#x7EC4;&#xFF0C;&#x5BF9;&#x6BCF;&#x7EC4;&#x4F7F;&#x7528;&#x76F4;&#x63A5;&#x63D2;&#x5165;&#x6392;&#x5E8F;&#x7B97;&#x6CD5;&#x6392;&#x5E8F;&#xFF1B;&#x968F;&#x7740;&#x589E;&#x91CF;&#x9010;&#x6E10;&#x51CF;&#x5C11;&#xFF0C;&#x6BCF;&#x7EC4;&#x5305;&#x542B;&#x7684;&#x5173;&#x952E;&#x8BCD;&#x8D8A;&#x6765;&#x8D8A;&#x591A;&#xFF0C;&#x5F53;&#x589E;&#x91CF;&#x51CF;&#x81F3;1&#x65F6;&#xFF0C;&#x6574;&#x4E2A;&#x6587;&#x4EF6;&#x6070;&#x88AB;&#x5206;&#x6210;&#x4E00;&#x7EC4;&#xFF0C;&#x7B97;&#x6CD5;&#x4FBF;&#x7EC8;&#x6B62;&#x3002;</p>
<h2 id="&#x5E0C;&#x5C14;&#x6392;&#x5E8F;&#x8FC7;&#x7A0B;">&#x5E0C;&#x5C14;&#x6392;&#x5E8F;&#x8FC7;&#x7A0B;</h2>
<p>&#x5E0C;&#x5C14;&#x6392;&#x5E8F;&#x7684;&#x57FA;&#x672C;&#x601D;&#x60F3;&#x662F;&#xFF1A;&#x5C06;&#x6570;&#x7EC4;&#x5217;&#x5728;&#x4E00;&#x4E2A;&#x8868;&#x4E2D;&#x5E76;&#x5BF9;&#x5217;&#x5206;&#x522B;&#x8FDB;&#x884C;&#x63D2;&#x5165;&#x6392;&#x5E8F;&#xFF0C;&#x91CD;&#x590D;&#x8FD9;&#x8FC7;&#x7A0B;&#xFF0C;&#x4E0D;&#x8FC7;&#x6BCF;&#x6B21;&#x7528;&#x66F4;&#x957F;&#x7684;&#x5217;&#xFF08;&#x6B65;&#x957F;&#x66F4;&#x957F;&#x4E86;&#xFF0C;&#x5217;&#x6570;&#x66F4;&#x5C11;&#x4E86;&#xFF09;&#x6765;&#x8FDB;&#x884C;&#x3002;&#x6700;&#x540E;&#x6574;&#x4E2A;&#x8868;&#x5C31;&#x53EA;&#x6709;&#x4E00;&#x5217;&#x4E86;&#x3002;&#x5C06;&#x6570;&#x7EC4;&#x8F6C;&#x6362;&#x81F3;&#x8868;&#x662F;&#x4E3A;&#x4E86;&#x66F4;&#x597D;&#x5730;&#x7406;&#x89E3;&#x8FD9;&#x7B97;&#x6CD5;&#xFF0C;&#x7B97;&#x6CD5;&#x672C;&#x8EAB;&#x8FD8;&#x662F;&#x4F7F;&#x7528;&#x6570;&#x7EC4;&#x8FDB;&#x884C;&#x6392;&#x5E8F;&#x3002;</p>
<p>&#x4F8B;&#x5982;&#xFF0C;&#x5047;&#x8BBE;&#x6709;&#x8FD9;&#x6837;&#x4E00;&#x7EC4;&#x6570;[ 13 14 94 33 82 25 59 94 65 23 45 27 73 25 39 10 ]&#xFF0C;&#x5982;&#x679C;&#x6211;&#x4EEC;&#x4EE5;&#x6B65;&#x957F;&#x4E3A;5&#x5F00;&#x59CB;&#x8FDB;&#x884C;&#x6392;&#x5E8F;&#xFF0C;&#x6211;&#x4EEC;&#x53EF;&#x4EE5;&#x901A;&#x8FC7;&#x5C06;&#x8FD9;&#x5217;&#x8868;&#x653E;&#x5728;&#x6709;5&#x5217;&#x7684;&#x8868;&#x4E2D;&#x6765;&#x66F4;&#x597D;&#x5730;&#x63CF;&#x8FF0;&#x7B97;&#x6CD5;&#xFF0C;&#x8FD9;&#x6837;&#x4ED6;&#x4EEC;&#x5C31;&#x5E94;&#x8BE5;&#x770B;&#x8D77;&#x6765;&#x662F;&#x8FD9;&#x6837;(&#x7AD6;&#x7740;&#x7684;&#x5143;&#x7D20;&#x662F;&#x6B65;&#x957F;&#x7EC4;&#x6210;)&#xFF1A;</p>
<pre><code>13 14 94 33 82
25 59 94 65 23
45 27 73 25 39
10
</code></pre><p>&#x7136;&#x540E;&#x6211;&#x4EEC;&#x5BF9;&#x6BCF;&#x5217;&#x8FDB;&#x884C;&#x6392;&#x5E8F;&#xFF1A;</p>
<pre><code>10 14 73 25 23
13 27 94 33 39
25 59 94 65 82
45
</code></pre><p>&#x5C06;&#x4E0A;&#x8FF0;&#x56DB;&#x884C;&#x6570;&#x5B57;&#xFF0C;&#x4F9D;&#x5E8F;&#x63A5;&#x5728;&#x4E00;&#x8D77;&#x65F6;&#x6211;&#x4EEC;&#x5F97;&#x5230;&#xFF1A;[ 10 14 73 25 23 13 27 94 33 39 25 59 94 65 82 45 ]&#x3002;&#x8FD9;&#x65F6;10&#x5DF2;&#x7ECF;&#x79FB;&#x81F3;&#x6B63;&#x786E;&#x4F4D;&#x7F6E;&#x4E86;&#xFF0C;&#x7136;&#x540E;&#x518D;&#x4EE5;3&#x4E3A;&#x6B65;&#x957F;&#x8FDB;&#x884C;&#x6392;&#x5E8F;&#xFF1A;</p>
<pre><code>10 14 73
25 23 13
27 94 33
39 25 59
94 65 82
45
</code></pre><p>&#x6392;&#x5E8F;&#x4E4B;&#x540E;&#x53D8;&#x4E3A;&#xFF1A;</p>
<pre><code>10 14 13
25 23 33
27 25 59
39 65 73
45 94 82
94
</code></pre><p>&#x6700;&#x540E;&#x4EE5;1&#x6B65;&#x957F;&#x8FDB;&#x884C;&#x6392;&#x5E8F;&#xFF08;&#x6B64;&#x65F6;&#x5C31;&#x662F;&#x7B80;&#x5355;&#x7684;&#x63D2;&#x5165;&#x6392;&#x5E8F;&#x4E86;&#xFF09;</p>
<h2 id="&#x5E0C;&#x5C14;&#x6392;&#x5E8F;&#x7684;&#x5206;&#x6790;">&#x5E0C;&#x5C14;&#x6392;&#x5E8F;&#x7684;&#x5206;&#x6790;</h2>
<p><img src="../images/shellsort.png" alt="shellsort"></p>
<pre><code class="lang-python"><span class="hljs-function"><span class="hljs-keyword">def</span> <span class="hljs-title">shell_sort</span><span class="hljs-params">(alist)</span>:</span>
    n = len(alist)
    <span class="hljs-comment"># &#x521D;&#x59CB;&#x6B65;&#x957F;</span>
    gap = n / <span class="hljs-number">2</span>
    <span class="hljs-keyword">while</span> gap &gt; <span class="hljs-number">0</span>:
        <span class="hljs-comment"># &#x6309;&#x6B65;&#x957F;&#x8FDB;&#x884C;&#x63D2;&#x5165;&#x6392;&#x5E8F;</span>
        <span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> range(gap, n):
            j = i
            <span class="hljs-comment"># &#x63D2;&#x5165;&#x6392;&#x5E8F;</span>
            <span class="hljs-keyword">while</span> j&gt;=gap <span class="hljs-keyword">and</span> alist[j-gap] &gt; alist[j]:
                alist[j-gap], alist[j] = alist[j], alist[j-gap]
                j -= gap
        <span class="hljs-comment"># &#x5F97;&#x5230;&#x65B0;&#x7684;&#x6B65;&#x957F;</span>
        gap = gap / <span class="hljs-number">2</span>

alist = [<span class="hljs-number">54</span>,<span class="hljs-number">26</span>,<span class="hljs-number">93</span>,<span class="hljs-number">17</span>,<span class="hljs-number">77</span>,<span class="hljs-number">31</span>,<span class="hljs-number">44</span>,<span class="hljs-number">55</span>,<span class="hljs-number">20</span>]
shell_sort(alist)
print(alist)
</code></pre>
<h2 id="&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;">&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;</h2>
<ul>
<li>&#x6700;&#x4F18;&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;&#xFF1A;&#x6839;&#x636E;&#x6B65;&#x957F;&#x5E8F;&#x5217;&#x7684;&#x4E0D;&#x540C;&#x800C;&#x4E0D;&#x540C;</li>
<li>&#x6700;&#x574F;&#x65F6;&#x95F4;&#x590D;&#x6742;&#x5EA6;&#xFF1A;O(n<sup>2</sup>)</li>
<li>&#x7A33;&#x5B9A;&#x6027;&#xFF1A;&#x4E0D;&#x7A33;&#x5B9A;</li>
</ul>
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